Corvinus, Spring 2021


All information and materials of the PLUS THREE WEEKS program (May 29-June 18) are at the bottom of this page.


My email address is freudro8@gmail.com.

Course syllabus

Additional information about the tests, the final, and the grading


Week 1, February 8-11: summary, sample problems - exponents and radicals, algebraic and rational expressions

Exercise sheets 1 ; 2 ; 3


Week 2, February 15-19: sample problems - equations and inequalities

Exercise sheets 4 ; 5 ; 8

Test 1 is postponed due to technical difficulties in moodle.


Week 3, February 22-26: summary and sample problems - coordinates, lines and circles

Exercise sheets 6 ; 7 ; 9 ; 10

Test 1 is postponed from February 26, Friday, to March 3, Wednesday, 7:40-8:15 AM (before the maths class).

updated test information


Week 4, March 1-5: summary and sample problems - functions

Exercise sheets 11 ; 12 ; 13

Test 1 is in the Moodle on March 3, Wednesday, Test 2 is on March 5, Friday, 7:40-8:15 AM (before the maths class).

updated test information

Test 1 solutions

Test 2 solutions

Test 3 is in the Moodle on March 10, Wednesday, Test 4 is on March 12, Friday, 7:40-8:15 AM (before the maths class).


Week 5, March 8-12: summary and sample problems - inverse function, polynomials

Exercise sheets 14 ; 15 ; 16

Test 3 is in the Moodle on March 10, Wednesday, Test 4 is on March 12, Friday, 7:40-8:15 AM (before the maths class).

Test 3 solutions

Test 4 solutions


Week 6, March 16-19: summary and sample problems - exponential and logarithmic functions and equations

Exercise sheets 17 ; 18 ; 19

Test 5 is in the Moodle on March 17, Wednesday, 7:40-8:15 AM (before the maths class).

Test 5 solutions


Week 7, March 22-26: summary and sample problems - trigonometric functions

Exercise sheets 20 ; 21 ; 22

Test 6 is in the Moodle on March 24, Wednesday, 7:40-8:15 AM (before the maths class).

Test 6 solutions


Week 8, April 12-16: summary and sample problems - trigonometry and triangles

Exercise sheets 23 ; 24

Test 7 is in the Moodle on April 14, Wednesday, 7:40-8:15 AM (before the maths class).

Test 7 solutions


Week 9, April 19-23: summary and sample problems - trigonometric identities and equations

Exercise sheets 25 ; 26 ; 27 ; 28

Test 8 is in the Moodle on April 21, Wednesday, 7:40-8:15 AM (before the maths class).

Test 8 solutions

Additional information about the tests, the final, and the grading


Week 10, April 26-30: summary and sample problems - sequences

Exercise sheets 31 ; 32 ; 33

Test 9 is in the Moodle on April 28, Wednesday, 7:40-8:15 AM (before the maths class).

Test 9 solutions

Additional information about the tests, the final, and the grading


Week 11, May 3-7: summary and sample problems - mathematical induction, combinatorics

Exercise sheets 34 ; 35 ; 37

Test 10 is in the Moodle on May 5, Wednesday, 7:40-8:15 AM (before the maths class).

Test 10 solutions

Additional information about the tests, the final, and the grading


Week 12, May 10-14: Review via sample tests.

1 , the correct coordinates of the point at the end of Problem 5a are (-2,-1); 5 ; 6 ; 7

Test 11 is in the Moodle on May 12, Wednesday, 7:40-8:15 AM (before the maths class).

Test 11 solutions

You are strongly encouraged to solve Entrance exam April 2021. It is similar to your course final. If you upload it into moodle (or send it by email to me) till May 16, 23:59, then I will correct and grade it (but it does not count into your course grade). The solutions will be posted on May 18.

Entrance exam April 2021 solutions


Week 13, May 17-21: Review via sample tests (continued).

Test 12 is in the Moodle on May 19, Wednesday, 7:40-8:15 AM (before the maths class).

Test 12 solutions


Week 14, May 26-28: Final

Final is in the Moodle on May 26, Wednesday (Part 1), and May 27, Thursday (Part 2) 8:00-9:30 AM (during the maths class).

Final, Part 1, Solutions

Final, Part 2, Solutions


PLUS THREE WEEKS PROGRAM

Detailed information


Week 15, May 29-June 4

Sample test 2

In Problem 5a replace the equation of the circle by x^2+y^2+4x-4y+7=0.

Plus solve the following Problem 9:

Find the quotient and the remainder when you perform the long division of 6x^4+x^3-2x^2+6 by 2x^+3x-1.

You can upload your solutions into moodle (or send it by email) till June 2 (Wednesday) 23:59.

Next class is on June 4 (Friday) 8:15-9:45 in zoom.

Notes from the June 4 class


Week 16, June 4-11

Sample test 4

Further problems, solve A2.

You can upload your solutions into moodle (or send it by email) till June 9 (Wednesday) 23:59.

Next class is on June 11 (Friday) 8:15-9:45 in zoom.

Notes from the June 11 class


Week 17, June 11-18

Sample test 3. In Problem 3b the following information is missing: The train used 1.8 times more time than the car. In Problem 4a replace +3 by -3.

Entrance exam 2020. We solved Problem 6b in last class, so replace it by the following: Two angles of a triangle are 30 and 45 degrees and the area is 18 times square root of 2. Compute the sides of the triangle. Solve also A3 and A4 from "Further problems" sheet posted last week.

You can upload your solutions into moodle (or send it by email) till June 16 (Wednesday) 23:59.

Last class is on June 18 (Friday) 8:15-9:45 in zoom.

Notes from the June 18 class